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Finding the Fourth Proportional to 9,741.40, 14,535.62 and 9,146.27

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Solution

The fourth proportional to 9,741.40, 14,535.62 and 9,146.27 is: 13,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.40 : 14,535.62 = 9,146.27 : x
  2. Step 2: Convert to fraction form
    9,741.40/14,535.62 = 9,146.27/x
  3. Step 3: Cross multiply
    9,741.40x = 14,535.62 × 9,146.27
  4. Step 4: Simplify right side
    9,741.40x = 132,946,648.28
  5. Step 5: Solve for x
    x = 132,946,648.28/9,741.40
  6. Step 6: Final answer
    x = 13,647.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.